GPE = mgh. A rock with a mass of 5 kg is lifted to the top of a cliff that is 30 meters high. What is the gravitational potential energy of the rock at the top of the cliff?*1 pointa) 1500 Jb) 3000 Jc) 4500 Jd) 6000 J
Question
GPE = mgh. A rock with a mass of 5 kg is lifted to the top of a cliff that is 30 meters high. What is the gravitational potential energy of the rock at the top of the cliff?*1 pointa) 1500 Jb) 3000 Jc) 4500 Jd) 6000 J
Solution
To solve this problem, we need to use the formula for gravitational potential energy (GPE), which is GPE = mgh.
Here, m = mass of the rock = 5 kg g = acceleration due to gravity = 9.8 m/s² (approximately, as it varies slightly depending on where on Earth you are) h = height = 30 m
Substituting these values into the formula, we get:
GPE = 5 kg * 9.8 m/s² * 30 m = 1470 J
However, this is not an option in the multiple choice answers. It's possible that the question assumes g = 10 m/s² for simplicity, which is often done in basic physics problems. If we use g = 10 m/s², we get:
GPE = 5 kg * 10 m/s² * 30 m = 1500 J
So, the answer is a) 1500 J.
Similar Questions
Calculate the gravitational potential energy of a 8 kg rock on top of a 40 m cliff. a1176 J b3136 J c2438 J d4396 J
An 1kg object is dropped from a height of 50 meters. What is its gravitational potential energy just before hitting the ground? (Take g = 9.8 m/s²)*1 pointa) 490 Jb) 245 Jc) 4900 Jd) 2450 J
What is the potential energy of a 3 kg rock on top of a 40 m cliff? a120 J b1176 J c360 J d420
A backpack has a mass of 8 kg. It is lifted and given 54.9 J of gravitational potential energy. How high is it lifted? Acceleration due to gravity is g = 9.8 m/s2.A.6.9 mB.0.7 mC.3.2 mD.0.15 mSUBMITarrow_backPREVIOUS
What is the gravitational potential energy of an 85 kg mountain climber at the summit of a 6267 m volcano?P.E = mgh
Upgrade your grade with Knowee
Get personalized homework help. Review tough concepts in more detail, or go deeper into your topic by exploring other relevant questions.